To find: The velocity and the speed of the particle.
Answer to Problem 37E
The velocity:
And the speed:
Explanation of Solution
Given information:
Calculation:
Know that,
Then,
In this exercise,
Then,
To use the previous result,
For
Then,
The previous results show that
Know that the magnitude of a vector.
To use the previous result,
Therefore, the required velocity of the particle is
And the speed is
To draw: The path of the particle and show that the velocity of
Answer to Problem 37E
The answer: Draw the vector
Explanation of Solution
Given information:
Calculation:
From part
To use the previous result,
Then,
Know that,
To use the previous result,
The following graph is the graph of the path of the particle with the velocity vector of the particle at time
Therefore, the required draw the vector
To find: The particle moving to left or right when
Answer to Problem 37E
The answer: The particle moving to the right when
Explanation of Solution
Given information:
Calculation:
Aware that a particle's velocity vector indicates the speed at which a particle's position is changing. Next, a particle's direction is represented by the direction of its velocity vector.
The direction angle of the particle's velocity vector with the positive
Therefore, the required The particle moving to the right when
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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